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valkas [14]
4 years ago
9

What is the value of S4 for A. 5 5/64 B. 5 1/4 C. 5 5/16 D. 5 5/6

Mathematics
2 answers:
viktelen [127]4 years ago
6 0

Answer:  Option 'C' is correct.

Step-by-step explanation:

Fittoniya [83]4 years ago
3 0

Answer:  Option 'C' is correct.

Step-by-step explanation:

Since we have given that

S_n=\sum^{\infty}_{n=1}4(\dfrac{1}{4})^{n-1}

We need to find the value of S₄.

So, it means sum of 4 terms.

Here it form a geometric series:

a = 4 = first term

r = \dfrac{1}{4} = Common ratio

And sum of n terms whose ratio is less than 1 is given by

S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_4=\dfrac{4(1-\dfrac{1}{4}^{4})}{1-\dfrac{1}{4}}\\\\S_4=\dfrac{4(1-0.25^4)}{1-0.25}\\\\S_4=\dfrac{4(1-0.0039)}{0.75}\\\\S_4=5.3125\\\\S_4=5\dfrac{5}{16}

Hence, Option 'C' is correct.

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Line a: 4y + x = 8<br> Line b: 2y + r = 4<br> Line c: 22 - 3x + 6
yanalaym [24]

Answer:

the answer to line a is

y = -1/4x+2

4 0
3 years ago
2.) Mila completed a half marathon race over the weekend. The full race was
In-s [12.5K]

Answer:

10.48 miles.

Step-by-step explanation:

That is 4/5 * 13.1

= 10.48 miles.

7 0
2 years ago
HELLLLLLP RNNN PLSSSSSSSSSSSS
Rashid [163]

Answer:

Your answer would be number 4, "A and D"

Step-by-step explanation:

I already know that if you multiply a number by less than 1 it will give a product less than the original number so that makes B and C not the correct answer leaving a and d

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8 0
3 years ago
Read 2 more answers
Using the graph as your guide, complete the following statement.
Alex787 [66]

Because the parabola intercepts the x-axis only once, we conclude that the discriminant is 0.

<h3>What can we say about the discriminant?</h3>

For a quadratic equation:

y = a*x^2 + b*x + c

The discriminant is:

D = b^2 - 4ac

  • If D = 0, there is only one real zero.
  • If D > 0, there are two real zeros.
  • If D < 0, there are two complex zeros.

In the graph we can see that the parabola intercepts the x-axis in its vertex, then the parabola has only one real zero, then we conclude that the discriminant is equal to zero.

If you want to learn more about quadratic equations:

brainly.com/question/776122

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8 0
2 years ago
In the ΔABC, the altitude AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC.
bekas [8.4K]
AB = 30 in and BC = 50 in.

We use Pythagorean theorem to solve this.  Since AN is an altitude, this means that it is perpendicular to BC.  This means BN and AN are the legs of one right triangle, with AB being the hypotenuse:

18²+24² = AB²
324 + 576 = AB²
900 = AB²

Take the square root of both sides:
√900 = √AB²
30 = AB

NC and AN form the legs of the other right triangle, with AC being the hypotenuse:

24²+NC² = 40²
576 + NC² = 1600

Subtract 576 from both sides:
576 + NC² - 576 = 1600 - 576
NC² = 1024

Take the square root of both sides:
√NC² = √1024
NC = 32

BC = BN + NC = 18 + 32 = 50
4 0
3 years ago
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